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mote1985 [20]
2 years ago
5

A man drives 500 metres up a road which is inclined at 30° to the horizontal. How

Mathematics
1 answer:
Basile [38]2 years ago
6 0

Step-by-step explanation:

Height = 500sin30° = 500(0.5) = 250.

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The basic idea here is to find an expression for the direction vector between a point on L1 and a point on L2. Then, solve for the points on L1 and L2 that make that vector perpendicular to both lines L1 and L2. (The dot product of direction vectors is zero.) The distance between the points found is the shortest distance between the lines.

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Let Q be a point on L2. The direction vector for L2 is given by the difference between the given points. It is (4-1, 1-(-1), 6-1) = (3, 2, 5). Then the parametric equation for Q is ...

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The distance between the two lines is about 1.3363 units.

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